The table shows the number of cellular phone subscribers (in millions) in the United States for selected years.t1990 1993 1996 1999 2002 2005YearNumber 51644 86 141 206(a) Use the regression capabilities of a graphing utility to find a mathematical model of the form y = at² + bt + c for the data. In the model, y represents the number of subscribers and t represents the year, with t = 0 corresponding to 1990. (Round yourcoefficients to three decimal places.)y =(b) Use a graphing utility to plot the data and graph the model.350-300Need Hels250200-150-100-50y350300-250200-150-100502460 1990 19958 10 12 14 16 18 20t2000t20052010y350300250200150100y500 199035030025020015010050019956 82000t2005201010 12 14 16 18 20t(c) Use the model to predict the number of cellular phone subscribers in the United States in the year 2017. (Round your answer to three decimal places.)

The given data,Year199019931996199920022005Number5164486141206We have to find the quadratic model…

Answered: The table shows the number of cellular…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The equation used to predict annual cauliflower yield (in pounds per acre) is y=24,596+4.423x1−4.772x2, where x1 is the number of acres planted an x2 is the number of acres harvested. Use the multiple regression equation to predict the y-values for the values of the independent variables.
Estimates for Medicare are given below: Year Cost (billion dollars) 1995 157 1996 178 1997 194 1998 211 1999 229 2000 247 Write the linear equation using the years 1997 and 2000. Write the linear regression equation Using the regression equation, predict the Medicare cost this year. Using the regression equation, interpret the slope in terms of this problem.
A park has kept the number of visitors since its opening in January. For the first six months of the year, the following numbers were recorded: Month Number of visitors Month Number of visitors January 133 April 640 February 183 May 1,879 March 285 June 2,550 Estimate the intercept and slope of the linear regression equation for forecasting the numbers of visitors. What are the forecasts for July through December of the year using the regression equation? The numbers of visitors to the park were 2,150 in July, and 2,660. Use Holt’s method with α=0.15 and β= 0.10 to find the one-step-ahead and two-step-ahead forecasts for September and October, respectively.
Based on data taken from airline fares and distances One of the flights was 350 miles and its residual was - flown, it is determined that the equation of the least- 105.00. What was the fare for this flight? squares regression line is ŷ = 102.50+ 0.65x, where y is the predicted fare and x is the distance, in miles. $102.50 $435.00 $225.00 $330.00
The table below shows the average weekly wages (in dollars) for state government employees and federal government employees for 10 years, construct and interpret a 98% prediction interval for the average weekly wages of federal government employees when the average weekly wages of state government employees is $888 the equation of the regression line is y= 1.453x-47.386. Wages(state), X | 739|760|784|822|898|921|937|954|965| Wages (federal), Y |1,036|1,054|1,105|1,136|1,192|1,253|1,266|1,327|1,400|
The file Galton on D2L contains the 928 observations Francis Galton used in 1885 to estimate the relationship between the heights of parents and the heights of their children. The column Children refers to the height (in inches) of a child, and the column Mid-Parents refers to the average height (in inches) of the mother and father of that child. You can download this file into Excel and Minitab. a. Calculate the regression Height of Children = a +b (Height of Mid-Parents). b. Calculate the average for Height of Children, and calculate the average Height of Mid-Parents. c. Create a new variable in Minitab which is the Height of Children measured in terms of deviations from its mean. Call this new variable y. Also, create a new variable in Minitab with is the Height of Mid-Parents measured in terms of deviations from its mean. Call this new variable x. Calculate the regression y = a + bx. You can create the new y and x variables in Excel of Minitab, whichever you find more convenient.…
2. The table below lists the annual land-line phone cost per costumer: Year 2012 2013 2014 2015 Cost ($) a. 692 610 Find a linear regression model for this data b. Interpret the slope of the model 580 C. Predict the annual land-line phone cost per customer in 2022 495 2016 434
b. Find the equation of the regression line for the minutes the actor appeared shirtless in a film and the film's opening weekend gross. y = ___x + ____(Round to two decimal places as needed)
The annual expenditure for cell phones varies by the age of an individual. The average annual expenditure E(a) (in $) for individuals of age a (in years) is given below:a: 20, 30, 40, 50, 60, 70E(a): 502, 658, 649, 627, 476, 2131. Use quadratic regression to find the model that best represents the data.2. At what age is the yearly expenditure for cell phones the greatest? Round the answer to the nearest year. YOU MUST SHOW THE WORK FOR THIS PART!
Give the equation of the regression line: -913.2969+0.4808years(y) a) Plug an actual x value into the equation and discuss the difference between the real y and the predicted yb) Discuss the domain of your datac) Include the scatterplot with line of best fit
A biology student is investigating the claim that the temperature can be predicted by counting cricket chirps. She has found a linear regression equation T=42.2+0.21r, where T is the temperature in degrees Fahrenheit and r is the number of chirps per minute. What is the predicted temperature for 90 chirps per minute? 18.9 degrees 227.6 degrees 23.3 degrees 61.1 degrees
This was not the correct quadratic model for the data

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